Make mathematics understandable, not mysterious.

We begin with numbers and ordinary operations, connect them to tables and graphs, and introduce compact notation only after its meaning is visible.

Select a module above to begin.

Teaching philosophyEight principles used to design every lessonOpen only if you want to review how the course is built.

Numbers before letters

Substitute friendly values, build a small table and say what each number represents before generalising.

Elementary operations before notation

Expose every integral as repeated generation, multiplication and addition: output × small input change, then add.

Need before method

State why ordinary arithmetic is insufficient and why a limiting process is required before introducing a calculus rule.

Four representations

Move deliberately among a scenario, a table, a graph and a symbolic equation; no representation is decorative.

Differentials with meaning

Distinguish actual changes from linear predictions, and explain when differential notation may be manipulated safely.

Intuition before theorem

Let the student predict the theorem from data and pictures, then state and justify the formal result.

Examples that fade

Progress from a fully annotated model to completion, near-transfer, contrast, independent and delayed problems.

Convergence closes the story

Return to approximation error and limits so that the exact integral is understood as a justified destination, not magic.